Science Forums 2

[Turtle]

Got it. Rather than edit out the powers of three separately, this is the the full Monty of remainders of powers mod nine in base ten through powers of ten. Fortunately, the way I wrote them out gives us the ending digits as well. I get some idea also from the way I wrote out the lists, of how it was I never saw the ending-digit pattern matching the K-pattern of next lower base; I never wrote them together.
This page does however illustrate an emergent property of remainders of powers that caught me by surprise, and we will get to that once the prelims are out of the way.